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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004853461593 2,900 digits created 2023-10-24

Value

55879494533714847664020198472702968718066681258021496503236690773046154875335518695502812946744144367556658238553353266089653993120043101845813098313176742145714357260126628082652063362916403306744659670730638100787188425513379867729752743970120010173830986142852500834386212290600734946854275932412436272527825604224397883095525331890173400745433267751338471835455027559055370091035706366729435909048407125854426510295503826703712143041806240168720986966968969236148266527231792545527652938695337551322849104775352605062010628547499407676626898143598156152076298805533218037515399909376083559850555900626664113553891769140626055822210413132538389072181478353594681670356377296275662347949348445495043486932139335338231684988991568595308368659296186094232037250607048675876933697434407468247540027509473740152774426223274674171357023947602487624909498169068853402036985610712144980329372459104079508232806574775867837864295525843552034152780402908600544997208597345311224172958995098024826319413576774962579472582852295490773416348988863129321433369758120461057597755885367800464103940879744129449690445878957724602613340314908630595710605542573599146757209312005983699056882294516307258520929916165997828953152615977638045025922807244848208754098656333244734948447750391799109448861608105975211484418459298242288699763966513243630973690213194192491804718567051708207153716939735289331601142610573160761393599284746128645943889461093501998658188957173719824328428239290561948835760583164427384441062417953034216216391899600638416027380735429026274036770689561278919727160907661728055677422267249900236482750894182923026915864584401521652763534308090168679388612414301111259270071535590485261621815770170586016259626713577046317280252935409173219418580672977858697396840601637881079853400574015895715882489162300810578797957674307582873036226210304041428296694931748104630981364903038193231362602284435406142550295138130948071473657041661685156054745303042627863689009673451206076584948327510623681336564553719528393755043650691258407843455284580076222276344948870044272088422641822831766344161112480729786672456016299735095343249340209063752310151133403219577782495625405024570965986994049464274136831964332125765345317344313511734925625421308507875724865322499713596031486367471742890774379633442520896210952407334594446251671767434166934728560235521981563362015347313179929815593125669147754200381046333251615183283761599040290931450939602684229228384005079562352609091771908886388573870122730568963043126339580588382360649835571946532948754052188885734953694731294291593677806315552966859932536264974800410551557724081399402093549713227003553244867281329474133405551025933081153126457414619139346901850587546261240203232074173871161040183121272766344559902535752951217366397502640667217043808979411614326420727706991736372966650386439585233534960664658918822887105101740309764148953126498876471327
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 20 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853461593 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004853461593},"decimal":true,"detail":2}}'